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Graphical Representation of Canonical Proof: Two case studies
Graphical Representation of Canonical Proof: Two case studies

Simplicity, Truth, and Topology Kevin T. Kelly Konstantin Genin Hanti Lin
Simplicity, Truth, and Topology Kevin T. Kelly Konstantin Genin Hanti Lin

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... setting generalize. In [Sme13] this approach is, by means of divisorial one-sided ideal theory, extended to a class of semigroups that includes commutative and normalizing Krull monoids as special cases. In particular, this is applied to investigate factorizations in the semigroup of non zero-diviso ...
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... Key results in proof-theory are theorems establishing the termination of proof-reduction algorithms. These algorithms transform proofs into other proofs of the same proposition, by eliminating cuts. An example of cut is a sequence of deduction steps where, after having proved the propositions A and ...
Foundations of Databases - Free University of Bozen
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Deductive Databases with Universally Quantified Conditions

Enumerations in computable structure theory
Enumerations in computable structure theory

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Saying It with Pictures: a logical landscape of conceptual graphs

Ribbon Proofs - A Proof System for the Logic of Bunched Implications
Ribbon Proofs - A Proof System for the Logic of Bunched Implications

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... termination of Buchberger’s algorithm for computing Gröbner bases [4], and to prove Hilbert’s basis theorem [14]. There are many other proofs of Dickson’s lemma in the literature, both with and without usage of non-constructive (or “classical”) arguments. The original proof of Dickson [5] and the p ...
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Recursive Domains, Indexed Category Theory and Polymorphism
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... Let me begin by confessing that this is a very eccentric document. It aims to do two things. First, of course, it sets out some original constructions, primarily of a “type of types” in certain categories whose objects have come to be known (rather unimaginatively) as domains, but also of various ot ...
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... Chapter 5 Resource Masters The Fast File Chapter Resource system allows you to conveniently file the resources you use most often. The Chapter 5 Resource Masters includes the core materials needed for Chapter 5. These materials include worksheets, extensions, and assessment options. The answers for ...
Enumerations in computable structure theory
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< 1 2 3 4 5 6 7 ... 163 >

Laws of Form

Laws of Form (hereinafter LoF) is a book by G. Spencer-Brown, published in 1969, that straddles the boundary between mathematics and philosophy. LoF describes three distinct logical systems: The primary arithmetic (described in Chapter 4 of LoF), whose models include Boolean arithmetic; The primary algebra (Chapter 6 of LoF), whose models include the two-element Boolean algebra (hereinafter abbreviated 2), Boolean logic, and the classical propositional calculus; Equations of the second degree (Chapter 11), whose interpretations include finite automata and Alonzo Church's Restricted Recursive Arithmetic (RRA).Boundary algebra is Dr Philip Meguire's (2011) term for the union of the primary algebra (hereinafter abbreviated pa) and the primary arithmetic. ""Laws of Form"" sometimes loosely refers to the pa as well as to LoF.
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